In the figure below, how many more smiley faces must be added to make the ratio of the number of smiley faces to the total number of shapes become 2 : 3?

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Worked solution

14

1. Find the new ratio of smiley faces to hearts

The new ratio of smiley faces to total shapes is 2:32 : 3.
Therefore, the new ratio of smiley faces to hearts is 2:(3−2)=2:12 : (3 - 2) = 2 : 1.

2. Calculate the required number of smiley faces

The number of hearts remains unchanged at 44.
Required number of smiley faces =4×2=8= 4 \times 2 = 8.

3. Find the number of smiley faces to add

Current number of smiley faces =5= 5.
Number of smiley faces to add =8−5=3= 8 - 5 = 3.

Answer

33 (option 3)

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